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olga nikolaevna [1]
3 years ago
15

Susan is buying black and green olives from the olive bar for her party. she buys 4 pounds of olives. black olives cost $3 a pou

nd green olives cost $5 a pound she spends $15.50 how many pounds of each type of olive does she buy. write and solve a system of equations
Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Let number of pounds of black olive = x

Let number of pounds of green olive = y

Then total number of olive will be (x+y)


Given that she buys 4 pounds of olives. so we get equation

x+y=4

or x=4-y...(i)


Given that cost of 1 pound of black olive = $3

then cost of x pounds of black olive = 3x

Given that cost of 1 pound of green olive = $5

then cost of y pounds of green olive = 5y

which gives total cost = (3x+5y)


Given that "she spends $15.50" so we get equation:

3x+5y=15.50...(ii)


Now we just need to solve both equations.

Plug value of x from equation (i) into (ii)


3x+5y=15.50

3(4-y)+5y=15.50

12-3y+5y=15.50

12+2y=15.50

2y=15.50-12

2y=3.5

y=3.5/2

y=1.75


Now plug value of y into (i)

x=4-y=4-1.75=2.25


Hence final answer is given by:

system of equation is x=4-y, 3x+5y=15.50

Number of pounds of black olive = 2.25 pound

Number of pounds of green olive = 1.75 pound


natali 33 [55]3 years ago
5 0
5 pounds each is a two great things to do so
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